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Finding the Third Proportional to 2,014,279,975 and 4,334,670,060

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Solution

The third proportional to 2,014,279,975 and 4,334,670,060 is: 9,328,079,890.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,014,279,975 : 4,334,670,060 = 4,334,670,060 : x
  2. Step 2: Convert to fraction form
    2,014,279,975/4,334,670,060 = 4,334,670,060/x
  3. Step 3: Cross multiply
    2,014,279,975x = 4,334,670,060 × 4,334,670,060
  4. Step 4: Simplify right side
    2,014,279,975x = 18,789,364,529,060,405,248
  5. Step 5: Solve for x
    x = 18,789,364,529,060,405,248/2,014,279,975
  6. Step 6: Final answer
    x = 9,328,079,890.71

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.